You can at once be acquainted with the problem solution for the Roma
italian and Constantinopol.

Very interesting chapter from Cicero work De respublica (About republic)
printed Ginzel in (1) and Morozov in (2). In (1) it has number 12 in his
eclipse list and is on page 180, in Morozov you can find it in chapter
6 on p. 426.

"This didn't run from our Ennius, which writes near year 350 from
capital foundation in June nones (June 7) Moon covered Sun and night became
(Soli luna obstiti et nox). The wisdom of art is in the following: from
day, which is wrighted by Ennius and about which say so greatest chronicles
all solar eclipses was compUTed till day which was in quintil nones (July
7) in Romul governing. If even nature brought Romul to the end by those
darkness his nobless brought him to heavens"

Tellimg in general it is possible don't pay attention to situating
a little down link equal is possible in general no read this article because
is very popular opinion that the first seven roman kings are cabbalistical
and they are reflection of seven days a week. Neverthless clicking a little
down you can be acquainted with consideretion of this problem on the case
of julian calendar and calendars which was before it. Is considered also
the origin of terms calends, nones and ides.

Nones was taking place by julian calendar not in 7-th but in 5-th
june. May be that's why he had considered this note as principally nonserious.

Hence in this chapter two circumstances are mentioned:

1 - In year 350 from capital foundation (Cicero eventually as those
considered Roma) was held solar eclipse with rather big phase at June 5(or
nearly June 5)

Author considered in abovereproducing quotation may be going about
on of three Roma: Roma Italian, Constantinopol or Alexandria in Egypt.
The consiqunted declinings method was applied: at first was considered
all eclipses held precisely at June 5 and July 7 Julian calendar according
solar eclipses canon. After this by most eventual mistakes method was supposed
that ancient authors could make mistake in fixing of observations and in
computing of eclipses on one, two, three and so on and considered all eclipses
having distance from mentioned in chronicles dates on one, two and so on
days. The maximum ammount of mistake making by ancient wisdomers was taken
one week.

Thus it is possible tobe facing with one annoying problem.
What about nones and calendsare well counted within the framework of a julian calendar. As to
same calculations oncase of the beforejuliancalendar, they appear incredibly composite,
as with months forancient romaes, according to a conventional history of ancient Rome,
was not that's all right and calendar,prioring julian, was incredibly composite.

The terms "calends", "nones", "ides", as it is considered, in a Roman
calendar have got from GreekLunar (1, page 203). Originally calends meant a new moon, nones
one - first quarter of the moon, ides- full moon. From this point of view to consider our problem in
general there is nothing, as solarthe eclipses are be only in a new moon, on Ancient Roma of a calendar
nomenclature - in Kalends. And inthis case the Cicero's personage for certain would say not "near
nones", but "near calends". The similar analysisthe informations contained in input datas, speaks that mentioned
by Cicero Ennius andalso ancient wise men calculated eclipses, used concept "nones"
not in original, and inmore late sense.

The Table 1

N

N+4

N+8

N+12

N+16

N+20

N+12

N+16

N+20

N+24

N+28

N+32

N+2

N+6

N+10

N+14

N+18

N+22

N+14

N+18

N+22

N+26

N+30

N+10

Here by the way 24 cells are figured all of year of Numa's cycle. The
first column corresponds to first,second, third and fourth years of cycle, second - fifth, sixth,
seventh and eighth and sofurther.

To this it is necessary to add, that we precisely do not know, for
what day of a julian calendar fallof earliest June nones of a Numa's calendar. About it it is possible
to evaluate so: year started inMarch calends (there is a probability, that they in some cases coincid
with vernalBy equinox), and in a random coincidence earliest March calends
of a Numa's calendar since March 1Julian calendar June nones was coming in 96 days, namely June 4.
The most distant datethis range we shall count simplly by suffixing 32 days and we shall
receive thus July 6.

So, for consideration June nones we shall take range of dates from
June 4 till July 6 juliancalendar, also we shall see, what in Rome were in that time of an
eclipse. From similar reasoningwe shall consider date of July nones from July 3 till August 4.

We specially shall not consider period which was set in after 182
up to CE, when a calendar,as of the items of information from a conventional history of ancient
Rome, had no any order and insertmonths was made bodily and completely under the order of the priests.
From here upper chronologicalboundary. By lower boundary we shall take year 800 up to CE.

The obtained outcomes on Constantinople and Rome we shall put in
the table 2. The characters A, K and R meanAlexandria, Constantinople and Rome. The first two pillars is a
year and month / day.

For this purpose we convert to the table of complementarity of a
Numa's calendar and julian calendar. BetweenBy years -399 and -708 there are 309 years, that is 12 complete
cycles of a Numa's calendar one with the duration 6 have passed Olympiads
and 21 years. Distance between the indicated years in cycle thus 21 or
3 years.Let's see, as though thus the calendar cycle was moved.

From the table it is visible, that for 21 years at transition from
a cell with number N to a cell with number N+21 (or: from the year with
number N by one year with number N+21) there are or suffixing 32 days,
(for the first cell,appropriate to the first year of Numa's cycle), or 10 (for the second
year), or 6 (for fourth andLast year of cycle), or suffixing 8 days, or subtraction 18 days
(for the lowermost string(line)),Or subtraction 14 days (for the second string(line)).

For transition from a cell under number N to a cell under number
N+3 the situation is symmetric. In generalcase it is correct to speak about numbers of transition arising
in that case - 6, 8, 10, 14, 18. And if in -399June nones are taking place on June 21, in -708 they could take
place 3, 7, 11, 13, 15 and June 27. ThenJuly mones are coming in -708 came equally 2, 6, 10, 12, 14 or July
26. (Roundoff with accuracyAbout day). Demanded July 17 there isn't.

Similarly between years -287 and -587 are 300 years, i.e. 12 complete
cycles of a Numa's calendar and 12 years have passed. At transition from
numbers of year N to number of year N+12 there are either suffixing or
subtraction 12 days. And if in -287 June nones are taking place in June
13, in -587 they took place 3 or June 23 onto julian calendar, then July nones are coming 2 or July 22 (instead
of demanded 29).

As we see, the priests were mistaken. And it's very large.

If to speak about eclipses observed especially from Constantinople,
a pair here takes placeEclipses -349/10/06 + -690/07/28. Between these years has passed
341 years, and difference between such yearsOn Numa's cycle makes 5 years. Here numbers of transition are 6,
8, 14, 16, 18, 30. And in one year -690ноны could come 24, 26, June 28. Then July nones are helding 23,
25, July 27. Theoreticallythe error only per one day is quite possible, as. But the is going
about Constantinople. So, year-690 minus years of Romul's board, approximately -730.

If even to consideration to add Alexandria, the indicated eclipse
близ June nones-251/07/05 would be held, and the eclipse at mors Ромула would be
held -541/07/31.

Alas, such astronomical analysis of the information displays, that
hardly circumscribed periodis passing under the given quotation. As to composite period, which
one starts per -182 years,The priests calculating eclipses, if with it also collided, most
likely, did not consider itcomplexities, and simplly have counted nones and calends in a them,
as on julian period.

The information on a calendar prior julian, is obtained from (4).

That is characteristic, Ginzel first of mentioned a June eclipse
has thoungt as to 21-st of June 399 up to AD,Golzapfel - to 18-th of January (!!!) 401 up to AD (is played back
on (2)).

Consideration of a problem on a case of the modern
julian calendar

At first author tried to decide this problem on the base of published
in (1) and (2) Oppolzer's canon but due to lacking in this canon dates
BC and some other lacking (in particular nonconsidered differnce between
united time UT and dynamic or ephemerid time ET) of this canon author used
other more modern and authenticall canon made by our contemporary russian
physisist Yury Krasilnikov.

By consideration of eclipse held in june none was considered all
eclipses visible from Roma italian, Constantinopol and Alexandria in Egypt
with phase of eclipse no less 0.6, because only those eclipses were really
visible. Results of consideretion are presented in table 3.

The results of of consideration of eclipse held in july nones
are in table 4. By consideration of this eclipse computed by ancient wisdomers
author considered they could be wrong and could be mistaken by calculation
of eclipse phase and that's why was considered without exception all eclipses
visible from abovementioned three cities. Results of consideration were
fixed in table 4. On the base of results writed in table 3 and 4 was for
comfort drawed table 5.

In all tables the empty cell vice-versa means eclipses absence those
in the given dateJulian calendar. The absence of dates in the table means full absence
of approaching days.

In tables 3 and 4 in first column are eclipse dates (month and day),
in second year. Presense of sign minus in front of year number means year
BC, absence of signs - year AD. Further there are three big columns divided
on two subcolumns. In left one is maximum eclipse time by Grinvich and
in right is eclipse phase. Was considered years from 1000 BC to 1500 AD.
Results of treatment of first quotation wrote to table 3, second to table
4. Days are placed not in chronological order but in the order of increasing
of dates difference between June 5 and July 7 and eclipse involved.

Table 1. Eclipses was held near june nones (by June 5)

Alexandria

Konstantinopol

Roma

Monate/ Tag

Jahre

Zeit

Phase

Zeit

Phase

Zeit

Phase

06/05

06/06

-175

03:57

0.757

346

04:08

1.049

04:23

0.843

04:28

0.697

06/04

-799

03:58

0.671

262

07:50

0.605

764

12:05

0.671

11:28

0.628

06/07

-650

08:18

0.633

08:26

0.927

913

09:18

0.738

1415

06:02

0.720

06/03

197

12:51

0.858

12:40

0.836

12:12

0.785

718

15:39

0.994

15:28

0.758

15:19

0.856

1239

13:01

0.653

12:49

0.964

12:23

0.982

06/08

06/02

-910

12:12

0.694

06/09

06/01

-408

09:37

113

09:44

0.681

09:14

0.801

634

15:25

0.942

15:10

0.843

15:00

0.960

06/10

-436

15:46

0.604

05/31

-956

16:41

0.767

03:03

0.662

67

16:50

0.893

16:41

0.690

16:40

0.794

86

02:57

0.855

06/11

606

07:47

0.827

08:01

0.855

07:44

0.661

05/30

06/12

-390

18:39

0.873

131

18:16

0.770

1173

03:22

0.866

03:55

0.643

Table 4. Eclipses held near quintil nones by Romul's death and calculated
according Cicero by ancient wisdomers.

Alexandria

Konstantinopol

Rom

Monate/ Tag

Jahre

Zeit

Phase

Zeit

Phase

Zeit

Phase

07/07

818

05:26

0.200

05:21

0.347

1339

15:00

0.897

14:41

0.973

14:30

0.857

07/08

-102

15:38

0.061

400

03:01

0.002

02:45

0.305

07/06

251

07:17

0.456

07:25

0.163

07:12

0.001

316

02:59

0.720

03:07

0.749

03:40

0.201

791

03:02

0.111

02:46

0.634

837

15:44

0.055

15:18

0.079

1320

18:42

0.242

07/09

-596

02:52

0.570

02:59

0.822

03:35

0.512

-75

17:02

0.164

17:30

0.369

17:34

0.456

1469

04:01

0.233

04:05

0.403

1488

04:40

0.952

04:47

0.634

04:47

0.473

07/05

-791

11:57

0.052

-753

17:01

0.147

16:59

0.338

17:01

0.212

-251

04:38

0.945

04:53

0.775

04:55

0.621

270

18:47

0.480

772

12:22

0.359

11:57

0.418

1293

10:20

0.911

10:11

0.589

09:44

0.541

1312

06:58

0.231

06:46

0.386

07/10

530

17:33

0.036

17:36

0.140

549

17:02

0.337

17:17

0.726

17:20

0.614

967

05:29

0.870

05:36

0.831

05:32

0.684

1070

15:03

0.017

14:46

0.208

14:33

0.072

07/04

-856

08:36

0.787

08:33

0.917

08:09

0.819

-354

07:39

0.047

07:19

0.177

-335

08:53

0.990

08:48

0.831

08:25

0.672

-232

18:47

0.097

167

06:13

0.264

06:04

0.421

186

05:36

0.722

05:44

0.400

05:39

0.233

707

03:23

0.249

07/11

-493

18:46

0.082

07/03

688

10:38

0.072

10:14

0.328

09:34

0.296

1163

07:05

0.830

07:16

0.844

07:02

0.690

1209

18:46

0.419

1228

04:21

0.301

04:30

0.157

07/12

-987

17:42

0.708

18:05

0.853

-447

13:24

0.323

13:02

0.169

12:39

0.326

07/02

-465

04:05

0.263

04:17

0.016

121

11:19

0.755

11:07

0.469

10:36

0.429

661

04:18

0.306

04:33

0.536

04:37

0.685

1182

17:04

0.248

17:08

0.446

17:11

0.341

07/13

-884

10:18

0.835

09:48

0.911

-382

12:07

0.311

11:53

0.044

11:27

0.074

-363

07:24

0.437

07:32

0.760

07:17

0.925

158

07:20

0.222

07:28

0.534

07:12

0.686

679

14:25

.345

14:05

0.531

13:45

0.409

1181

16:22

0.350

16:08

0.196

16:04

0.308

07/01

-484

17:43

.488

18:09

0.747

18

18:47

0.127

539

17:04

0.177

17:14

0.437

17:18

0.329

558

17:04

0.117

17:25

0.267

17:28

0.373

1179

14:38

0.698

14:21

0.542

We mark for obtaining local time knowing Grinvich for Roma italian
it's necessary to all time meanings from left columns to add one hour,
and for local time obtaining in Constantinopol and Alexandria Egypt it's
necessary to add two hours to Grinvich time.

In table 5 for the better comfort in left group we place in chronological
consequence eclipse dates of Roma foundation from table 4, and in right
group we place eclipse dates held in June 5 from table 3.

Table 5

Monate/ Tag

Jahre

A

K

R

A

K

R

07/12

-987

0.708

0.853

06/11

-957

0.756

05/31

-956

0.767

06/02

-910

0.694

07/13

-884

0.835

0.911

07/04

-856

0.787

0.917

0.819

06/04

-799

0.671

07/05

-791

0.052

07/05

-753

0.147

0.338

0.212

06/07

-650

0.633

0.927

07/09

-596

0.822

07/11

-493

0.082

07/01

-484

0.747

07/02

-465

0.263

0.016

07/12

-447

0.323

0.169

0.326

06/10

-436

0.604

06/01

-408

0.668

06/12

-390

0.873

07/13

-382

0.311

0.044

0.074

07/13

-363

0.760

0.925

07/04

-354

0.047

0.177

07/04

-335

0.990

0.831

0.672

07/05

-251

0.945

0.775

0.621

07/04

-232

0.097

06/06

-175

0.757

07/08

-102

0.061

07/09

-075

0.164

0.369

0.456

07/01

0018

0.127

05/31

0067

0.893

0.855

0.794

05/31

0086

0.615

06/01

0113

0.681

07/02

0121

0.755

06/12

0131

0.770

07/13

0158

0.686

07/04

0167

0.264

0.421

07/04

0186

0.722

06/03

0197

0.858

0.836

0.785

06/04

0262

0.605

07/05

0270

0.480

07/06

0316

0.720

0.479

0.201

06/06

0346

1.049

0.843

0.697

07/08

0400

0.002

0.305

07/10

0530

0.036

0.140

07/01

0539

0.177

0.437

07/10

0549

0.726

0.614

06/11

0606

0.827

0.855

0.661

06/01

0634

0.942

0.843

07/01

0558

0.117

0.267

07/02

0661

0.685

07/13

0679

0.345

0.531

0.409

07/03

0688

0.072

0.328

0.296

07/11

0707

0.249

06/03

0718

0.994

0.856

06/04

0764

0.671

0.638

07/05

0772

0.359

0.418

07/06

0791

0.634

07/07

0818

0.200

0.347

07/06

0837

0.055

0.079

06/07

0913

0.738

07/10

0967

0.870

0.831

0.684

07/01

1079

0.698

07/03

1163

0.830

0.844

0.690

07/10

1070

0.017

0.208

0.072

06/12

1173

0.866

0.643

07/13

1181

0.350

0.196

0.308

07/02

1182

0.248

0.446

0.341

07/03

1209

0.419

07/03

1228

0.301

0.157

06/03

1239

0.653

0.964

0.982

07/05

1293

0.911

07/05

1312

0.231

0.386

07/06

1320

0.242

07/07

1339

0.897

0.973

0.857

06/07

1415

0.720

07/06

1488

0.952

0.634

07/09

1469

0.233

0.403

For the comfort we shall treat data from the table 3. Let's
mark according traditional history Romul Roma foundator governed 37 years,
and if believe (30 there are only few information about his life and his
life date was calculated from the cabbalistical considerations. There is
known he get power being already mature.

From all data in table 5 we chose those one having relation to the
Romul's death neqr quinlil or July nones and place they in the right part
of table. In the left part of table we place eclipses which had held in
June nones near 350 years after his death.

Results are placed in table 6.

In first column is given year number of eclipse near june nones,
in second his date, in third Grinvich time (UT), in forth phase and city
from which it was visible (we will write only eclipses with phase no less
0.8), in fifth year of Roma foundation obtaining by substraction 350 from
year of eclipse observation, in sixth year of eclipse held in Romul year
death, eventually calculating by ancient wisdomers and which really held
according Krasilnikov's canon, in seventh its date, in eights its Grinvich
time, in ninth its phases. Empty cells mean absense of passing eclipses.

The closest year from the Rom foundation (Year
from the first Columne minus 350)

Year of the Romul's death (as to mentined eclispe)

Month/Day

Time

Phase

-650

06/07

08:26

-900

-884

07/13

0.927K

10:18

0.835K

09:48

0.911R

-856

07/04

08:36

0.787А

08:33

0.917K

08:09

0.819R

0067

05/31

16:50

0.893А

-283

-251

07/05

04:38

0.945А

16:41

0.855K

04:53

0.775K

16:40

0.794R

04:55

0.621R

0197

06/03

12:51

0.858А

-153

-102

12:40

0.836K

07/08

15:38

0.061K

12:12

0.785R

0346

06/06

04:08

1.049А

-004

0018

07/01

04:23

0.843K

04:28

0.697R

18:47

0.127R

0606

11/06

07:47

0.827А

0256

08:01

0.855K

07:44

0.661R

0634

06/01

15:25

0.942А

0284

0316

07/06

02:59

0.720A

15:10

0.843K

03:07

0.479K

03:40

0.201R

0718

06/03

15:39

0.994A

0368

0400

07/08

03:01

0.002A

02:45

0.305K

15:19

0.856R

1173

06/12

03:22

0.866A

0823

0837

07/06

15:44

0.055A

03:35

0.643K

15:18

0.079R

1239

06/03

13:01

0.653A

0889

12:49

0.964K

12:23

0.982R

From this table it is visible, that the eclipse
substantially observed Ennius near to June nones was held, probably, in
346 CE, as it gives the least difference in dates with actual dates June
nones, furthermore has enough large phase. The eclipse, appropriate to
him, approximately 350 years prior to him at Romul's death is a holding
July 1 in year 4 CE. Then Rome was based 37 years prior to it, approximately
per 41 year CE.

If will be going of a message about the basis
of Constantinople, by the most priority pair here will be 067/07/13 and
-251/07/05 (difference 318 years).

Thus at calculation of an eclipse at Romul's death mentioned for
Ennius ancient wise men essentially were mistaken with a place of observation,
and from Europe this eclipse was unobservable.

Meanwhile by calculating of eclipse near the Romul's death wisdomers
made mistake with the place of observing and this eclipse was not visible
from Europe.

Less probable solutions of this problem the viewpoint of time interval
to the June nones and phase are eclipses having held near June nones
in the years 67, 197, 606, 634, 718.

Finally we tell a few about solution offered by Golzapfel namely
June 21 399 BC. Difference with june nones 16 days.

This solar eclipse was held in Roma italian in 18:42 with phase 0.973
and was not visible in Constantinopol and Alexandria.

Let's describe all eclipses was visible from Roma italian 300-400
years before (range of years is 800-700 BC)